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Assume That F and G Are Differentiable Functions Defined on All

Question 85

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Assume that f and g are differentiable functions defined on all of the real line.If f ' > 0 everywhere and f > 0 everywhere then must lim⁡x→+∞f(x)=∞\operatorname{lim}_{x \rightarrow+\infty} f(x)=\infty ?

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